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78380874893552 = 24711891542746337
BaseRepresentation
bin10001110100100101111000…
…001101001000100011110000
3101021112010201221022110201212
4101310211320031020203300
540233143012433043202
6434411402110215252
722336555101600410
oct2164457015104360
9337463657273655
1078380874893552
1122a7a162546160
12895a8a44b4528
1334973918a745a
14154d924284640
1590dcee306652
hex4749783488f0

78380874893552 has 160 divisors (see below), whose sum is σ = 191479529525760. Its totient is φ = 30192270704640.

The previous prime is 78380874893533. The next prime is 78380874893567. The reversal of 78380874893552 is 25539847808387.

It is a super-2 number, since 2×783808748935522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (77).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1691516528 + ... + 1691562864.

It is an arithmetic number, because the mean of its divisors is an integer number (1196747059536).

Almost surely, 278380874893552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78380874893552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95739764762880).

78380874893552 is an abundant number, since it is smaller than the sum of its proper divisors (113098654632208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78380874893552 is a wasteful number, since it uses less digits than its factorization.

78380874893552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61879 (or 61873 counting only the distinct ones).

The product of its (nonzero) digits is 3251404800, while the sum is 77.

The spelling of 78380874893552 in words is "seventy-eight trillion, three hundred eighty billion, eight hundred seventy-four million, eight hundred ninety-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 89 112 154 176 178 308 356 616 623 712 979 1232 1246 1424 1958 2492 3916 4984 6853 7832 9968 13706 15427 15664 27412 30854 46337 54824 61708 92674 107989 109648 123416 169697 185348 215978 246832 324359 339394 370696 431956 509707 648718 678788 741392 863912 1019414 1187879 1297436 1357576 1373003 1727824 2038828 2375758 2594872 2715152 2746006 3567949 4077656 4123993 4751516 5189744 5492012 7135898 8155312 8247986 9503032 9611021 10984024 14271796 15103033 16495972 19006064 19222042 21968048 28543592 28867951 30206066 32991944 38444084 45363923 57087184 57735902 60412132 65983888 76888168 90727846 105721231 115471804 120824264 153776336 181455692 211442462 230943608 241648528 317547461 362911384 422884924 461887216 635094922 714840899 725822768 845769848 1270189844 1429681798 1691539696 2540379688 2859363596 5003886293 5080759376 5718727192 7863249889 10007772586 11437454384 15726499778 20015545172 31452999556 40031090344 55042749223 62905999112 63620840011 80062180688 110085498446 125811998224 127241680022 220170996892 254483360044 440341993784 445345880077 508966720088 699829240121 880683987568 890691760154 1017933440176 1399658480242 1781383520308 2799316960484 3562767040616 4898804680847 5598633920968 7125534081232 9797609361694 11197267841936 19595218723388 39190437446776 78380874893552