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40916770048 = 287113166959
BaseRepresentation
bin100110000110110101…
…000101110100000000
310220121120010021120201
4212012311011310000
51132244143120143
630444044214544
72645645543530
oct460665056400
9126546107521
1040916770048
11163974a4a40
127b1ab3a454
133b20c9b14b
141da22514c0
1510e722764d
hex986d45d00

40916770048 has 144 divisors (see below), whose sum is σ = 105113272320. Its totient is φ = 15427123200.

The previous prime is 40916770031. The next prime is 40916770049. The reversal of 40916770048 is 84007761904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40916770049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577593 + ... + 644551.

It is an arithmetic number, because the mean of its divisors is an integer number (729953280).

Almost surely, 240916770048 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 40916770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52556636160).

40916770048 is an abundant number, since it is smaller than the sum of its proper divisors (64196502272).

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

40916770048 is a wasteful number, since it uses less digits than its factorization.

40916770048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67024 (or 67010 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 40916770048 in words is "forty billion, nine hundred sixteen million, seven hundred seventy thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 64 77 88 112 124 128 154 176 217 224 248 256 308 341 352 434 448 496 616 682 704 868 896 992 1232 1364 1408 1736 1792 1984 2387 2464 2728 2816 3472 3968 4774 4928 5456 6944 7936 9548 9856 10912 13888 19096 19712 21824 27776 38192 43648 55552 66959 76384 87296 133918 152768 267836 305536 468713 535672 611072 736549 937426 1071344 1473098 1874852 2075729 2142688 2946196 3749704 4151458 4285376 5155843 5892392 7499408 8302916 8570752 10311686 11784784 14530103 14998816 16605832 17141504 20623372 22833019 23569568 29060206 29997632 33211664 41246744 45666038 47139136 58120412 59995264 66423328 82493488 91332076 94278272 116240824 119990528 132846656 159831133 164986976 182664152 188556544 232481648 265693312 319662266 329973952 365328304 464963296 531386624 639324532 659947904 730656608 929926592 1278649064 1319895808 1461313216 1859853184 2557298128 2922626432 3719706368 5114596256 5845252864 10229192512 20458385024 40916770048