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78919468704 = 25322347253493
BaseRepresentation
bin100100101111111110…
…1111000011010100000
321112201000220101201100
41021133331320122200
52243111340444304
6100131034034400
75462461262406
oct1113775703240
9245630811640
1078919468704
1130518a89a0a
1213365b78a00
13759930c79b
143b69467476
1520bd6d1439
hex125ff786a0

78919468704 has 144 divisors (see below), whose sum is σ = 239168547072. Its totient is φ = 24627254784.

The previous prime is 78919468699. The next prime is 78919468709. The reversal of 78919468704 is 40786491987.

It is an interprime number because it is at equal distance from previous prime (78919468699) and next prime (78919468709).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (78919468709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184582 + ... + 438074.

It is an arithmetic number, because the mean of its divisors is an integer number (1660892688).

Almost surely, 278919468704 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 78919468704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119584273536).

78919468704 is an abundant number, since it is smaller than the sum of its proper divisors (160249078368).

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

78919468704 is a wasteful number, since it uses less digits than its factorization.

78919468704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253579 (or 253568 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 78919468704 in words is "seventy-eight billion, nine hundred nineteen million, four hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 47 48 69 72 92 94 96 138 141 144 184 188 207 276 282 288 368 376 414 423 552 564 736 752 828 846 1081 1104 1128 1504 1656 1692 2162 2208 2256 3243 3312 3384 4324 4512 6486 6624 6768 8648 9729 12972 13536 17296 19458 25944 34592 38916 51888 77832 103776 155664 253493 311328 506986 760479 1013972 1520958 2027944 2281437 3041916 4055888 4562874 5830339 6083832 8111776 9125748 11660678 11914171 12167664 17491017 18251496 23321356 23828342 24335328 34982034 35742513 36502992 46642712 47656684 52473051 69964068 71485026 73005984 93285424 95313368 104946102 107227539 139928136 142970052 186570848 190626736 209892204 214455078 274025933 279856272 285940104 381253472 419784408 428910156 548051866 559712544 571880208 822077799 839568816 857820312 1096103732 1143760416 1644155598 1679137632 1715640624 2192207464 2466233397 3288311196 3431281248 4384414928 4932466794 6576622392 8768829856 9864933588 13153244784 19729867176 26306489568 39459734352 78919468704