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75804939473312 = 2572612633013463
BaseRepresentation
bin10001001111000110110110…
…011111010101000110100000
3100221101212210120100212202102
4101033012312133111012200
534413442004001121222
6425120150342305532
721652504032025100
oct2117066637250640
9327355716325672
1075804939473312
1122176770113825
128603608a282a8
13333b4b51a35ba
1414a0d9b59b200
158b6cd8ea6d92
hex44f1b67d51a0

75804939473312 has 144 divisors (see below), whose sum is σ = 177123844098432. Its totient is φ = 31833730414080.

The previous prime is 75804939473261. The next prime is 75804939473323. The reversal of 75804939473312 is 21337493940857.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23648693 + ... + 26662155.

It is an arithmetic number, because the mean of its divisors is an integer number (1230026695128).

Almost surely, 275804939473312 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 75804939473312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88561922049216).

75804939473312 is an abundant number, since it is smaller than the sum of its proper divisors (101318904625120).

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

75804939473312 is a wasteful number, since it uses less digits than its factorization.

75804939473312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013811 (or 3013796 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 65.

The spelling of 75804939473312 in words is "seventy-five trillion, eight hundred four billion, nine hundred thirty-nine million, four hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 98 112 122 196 224 244 263 392 427 488 526 784 854 976 1052 1568 1708 1841 1952 2104 2989 3416 3682 4208 5978 6832 7364 8416 11956 12887 13664 14728 16043 23912 25774 29456 32086 47824 51548 58912 64172 95648 103096 112301 128344 206192 224602 256688 412384 449204 513376 786107 898408 1572214 1796816 3013463 3144428 3593632 6026926 6288856 12053852 12577712 21094241 24107704 25155424 42188482 48215408 84376964 96430816 147659687 168753928 183821243 295319374 337507856 367642486 590638748 675015712 735284972 792540769 1181277496 1286748701 1470569944 1585081538 2362554992 2573497402 2941139888 3170163076 4725109984 5146994804 5547785383 5882279776 6340326152 9007240907 10293989608 11095570766 12680652304 18014481814 20587979216 22191141532 25361304608 36028963628 38834497681 41175958432 44382283064 48344986909 72057927256 77668995362 88764566128 96689973818 144115854512 155337990724 177529132256 193379947636 288231709024 310675981448 338414908363 386759895272 621351962896 676829816726 773519790544 1242703925792 1353659633452 1547039581088 2368904358541 2707319266904 4737808717082 5414638533808 9475617434164 10829277067616 18951234868328 37902469736656 75804939473312