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157680188288 = 2772910955673
BaseRepresentation
bin1001001011011001111…
…0001011101110000000
3120002000000002111120122
42102312132023232000
510040412112011123
6200234241355412
714251314325520
oct2226636135600
9502000074518
10157680188288
11609653a02a7
1226686938b68
1311b3b778c7c
1478bb7a9680
15417cea5bc8
hex24b678bb80

157680188288 has 128 divisors (see below), whose sum is σ = 374797368000. Its totient is φ = 64647217152.

The previous prime is 157680188243. The next prime is 157680188293. The reversal of 157680188288 is 882881086751.

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

It is a self number, because there is not a number n which added to its sum of digits gives 157680188288.

It is a congruent number.

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, 2804420 + ... + 2860092.

Almost surely, 2157680188288 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 157680188288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187398684000).

157680188288 is an abundant number, since it is smaller than the sum of its proper divisors (217117179712).

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

157680188288 is a wasteful number, since it uses less digits than its factorization.

157680188288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55832 (or 55820 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 62.

The spelling of 157680188288 in words is "one hundred fifty-seven billion, six hundred eighty million, one hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 109 112 116 128 203 218 224 232 406 436 448 464 763 812 872 896 928 1526 1624 1744 1856 3052 3161 3248 3488 3712 6104 6322 6496 6976 12208 12644 12992 13952 22127 24416 25288 25984 44254 48832 50576 55673 88508 97664 101152 111346 177016 202304 222692 354032 389711 404608 445384 708064 779422 890768 1416128 1558844 1614517 1781536 2832256 3117688 3229034 3563072 6068357 6235376 6458068 7126144 11301619 12136714 12470752 12916136 22603238 24273428 24941504 25832272 42478499 45206476 48546856 49883008 51664544 84956998 90412952 97093712 103329088 169913996 175982353 180825904 194187424 206658176 339827992 351964706 361651808 388374848 679655984 703929412 723303616 776749696 1231876471 1359311968 1407858824 1446607232 2463752942 2718623936 2815717648 4927505884 5437247872 5631435296 9855011768 11262870592 19710023536 22525741184 39420047072 78840094144 157680188288