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78723467904 = 2731925434243
BaseRepresentation
bin100100101010001001…
…0001100101010000000
321112012101002112011110
41021110102030222000
52242211201433104
6100055353043320
75454561302454
oct1112422145200
9245171075143
1078723467904
1130428388684
12133103b6540
137567825893
143b4b406664
1520ab3b6e89
hex125448ca80

78723467904 has 128 divisors (see below), whose sum is σ = 220253414400. Its totient is φ = 24844409856.

The previous prime is 78723467897. The next prime is 78723467939. The reversal of 78723467904 is 40976432787.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18551607 + ... + 18555849.

It is an arithmetic number, because the mean of its divisors is an integer number (1720729800).

Almost surely, 278723467904 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 78723467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110126707200).

78723467904 is an abundant number, since it is smaller than the sum of its proper divisors (141529946496).

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

78723467904 is a wasteful number, since it uses less digits than its factorization.

78723467904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6822 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 78723467904 in words is "seventy-eight billion, seven hundred twenty-three million, four hundred sixty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 2543 3648 4243 5086 7296 7629 8486 10172 12729 15258 16972 20344 25458 30516 33944 40688 48317 50916 61032 67888 80617 81376 96634 101832 122064 135776 144951 161234 162752 193268 203664 241851 244128 271552 289902 322468 325504 386536 407328 483702 488256 543104 579804 644936 773072 814656 967404 976512 1159608 1289872 1546144 1629312 1934808 2319216 2579744 3092288 3869616 4638432 5159488 6184576 7739232 9276864 10318976 10789949 15478464 18553728 21579898 30956928 32369847 43159796 64739694 86319592 129479388 172639184 205009031 258958776 345278368 410018062 517917552 615027093 690556736 820036124 1035835104 1230054186 1381113472 1640072248 2071670208 2460108372 3280144496 4143340416 4920216744 6560288992 9840433488 13120577984 19680866976 26241155968 39361733952 78723467904