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78958640112 = 243112910748193
BaseRepresentation
bin100100110001001001…
…1010011101111110000
321112210202121111210020
41021202103103233300
52243201402440422
6100134553403440
75463445236642
oct1114223235760
9245722544706
1078958640112
1130539103a80
1213377109580
1375a4476131
143b70742892
1520c1d6c95c
hex12624d3bf0

78958640112 has 160 divisors (see below), whose sum is σ = 232349057280. Its totient is φ = 22885416960.

The previous prime is 78958640107. The next prime is 78958640129. The reversal of 78958640112 is 21104685987.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 1614288 + ... + 1662480.

It is an arithmetic number, because the mean of its divisors is an integer number (1452181608).

Almost surely, 278958640112 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 78958640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116174528640).

78958640112 is an abundant number, since it is smaller than the sum of its proper divisors (153390417168).

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

78958640112 is a wasteful number, since it uses less digits than its factorization.

78958640112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48351 (or 48345 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 78958640112 in words is "seventy-eight billion, nine hundred fifty-eight million, six hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 107 116 132 174 176 214 232 264 319 321 348 428 464 528 638 642 696 856 957 1177 1276 1284 1392 1712 1914 2354 2552 2568 3103 3531 3828 4708 5104 5136 6206 7062 7656 9309 9416 12412 14124 15312 18618 18832 24824 28248 34133 37236 48193 49648 56496 68266 74472 96386 102399 136532 144579 148944 192772 204798 273064 289158 385544 409596 530123 546128 578316 771088 819192 1060246 1156632 1397597 1590369 1638384 2120492 2313264 2795194 3180738 4192791 4240984 5156651 5590388 6361476 8385582 8481968 10313302 11180776 12722952 15373567 15469953 16771164 20626604 22361552 25445904 30747134 30939906 33542328 41253208 46120701 56723161 61494268 61879812 67084656 82506416 92241402 113446322 122988536 123759624 149542879 170169483 184482804 226892644 245977072 247519248 299085758 340338966 368965608 448628637 453785288 598171516 680677932 737931216 897257274 907570576 1196343032 1361355864 1644971669 1794514548 2392686064 2722711728 3289943338 3589029096 4934915007 6579886676 7178058192 9869830014 13159773352 19739660028 26319546704 39479320056 78958640112