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45816444965368 = 23711415573256879
BaseRepresentation
bin10100110101011011110001…
…11011010101000111111000
320000020000020211021200020201
422122231320323111013320
522001124034402342433
6241235441221531544
712436062134361310
oct1232557073250770
9200200224250221
1045816444965368
11136647108291a0
12517b64a873bb4
131c7461a61781c
14b457562a6440
15546bce31ca7d
hex29ab78ed51f8

45816444965368 has 128 divisors (see below), whose sum is σ = 109912665139200. Its totient is φ = 17383912012800.

The previous prime is 45816444965351. The next prime is 45816444965411. The reversal of 45816444965368 is 86356944461854.

It is a hoax number, since the sum of its digits (73) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45816444965368.

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, 12439153 + ... + 15696031.

It is an arithmetic number, because the mean of its divisors is an integer number (858692696400).

Almost surely, 245816444965368 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 45816444965368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54956332569600).

45816444965368 is an abundant number, since it is smaller than the sum of its proper divisors (64096220173832).

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

45816444965368 is a wasteful number, since it uses less digits than its factorization.

45816444965368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257501 (or 3257497 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 73.

The spelling of 45816444965368 in words is "forty-five trillion, eight hundred sixteen billion, four hundred forty-four million, nine hundred sixty-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 41 44 56 77 82 88 154 164 287 308 328 451 557 574 616 902 1114 1148 1804 2228 2296 3157 3608 3899 4456 6127 6314 7798 12254 12628 15596 22837 24508 25256 31192 42889 45674 49016 85778 91348 159859 171556 182696 251207 319718 343112 502414 639436 1004828 1278872 1758449 2009656 3256879 3516898 6513758 7033796 13027516 14067592 22798153 26055032 35825669 45596306 71651338 91192612 133532039 143302676 182385224 250779683 267064078 286605352 501559366 534128156 934724273 1003118732 1068256312 1468852429 1814081603 1869448546 2006237464 2937704858 3628163206 3738897092 5875409716 7256326412 7477794184 10281967003 11750819432 12698571221 14512652824 19954897633 20563934006 25397142442 39909795266 41127868012 50794284884 74377345723 79819590532 82255736024 101588569768 139684283431 148754691446 159639181064 279368566862 297509382892 520641420061 558737133724 595018765784 818150802953 1041282840122 1117474267448 1636301605906 2082565680244 3272603211812 4165131360488 5727055620671 6545206423624 11454111241342 22908222482684 45816444965368