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12737148207872 = 281129712196763
BaseRepresentation
bin1011100101011001100100…
…1100011100001100000000
31200002122210202110222200012
42321112121030130030000
53132141134420122442
643031210510244052
72453141256261044
oct271263114341400
950078722428605
1012737148207872
114070881119940
1215186651b6628
13715153149aca
143206a4828024
151714c8444582
hexb959931c300

12737148207872 has 144 divisors (see below), whose sum is σ = 29096402791680. Its totient is φ = 5511236505600.

The previous prime is 12737148207853. The next prime is 12737148207881. The reversal of 12737148207872 is 27870284173721.

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, 4699763 + ... + 6896525.

It is an arithmetic number, because the mean of its divisors is an integer number (202058352720).

Almost surely, 212737148207872 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 12737148207872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548201395840).

12737148207872 is an abundant number, since it is smaller than the sum of its proper divisors (16359254583808).

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

12737148207872 is a wasteful number, since it uses less digits than its factorization.

12737148207872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196890 (or 2196876 counting only the distinct ones).

The product of its (nonzero) digits is 14751744, while the sum is 59.

The spelling of 12737148207872 in words is "twelve trillion, seven hundred thirty-seven billion, one hundred forty-eight million, two hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 71 88 116 128 142 176 232 256 284 319 352 464 568 638 704 781 928 1136 1276 1408 1562 1856 2059 2272 2552 2816 3124 3712 4118 4544 5104 6248 7424 8236 9088 10208 12496 16472 18176 20416 22649 24992 32944 40832 45298 49984 65888 81664 90596 99968 131776 181192 199936 263552 362384 527104 724768 1449536 2196763 2899072 4393526 5798144 8787052 17574104 24164393 35148208 48328786 63706127 70296416 96657572 127412254 140592832 155970173 193315144 254824508 281185664 311940346 386630288 509649016 562371328 623880692 700767397 773260576 1019298032 1247761384 1401534794 1546521152 1715671903 2038596064 2495522768 2803069588 3093042304 3431343806 4077192128 4523135017 4991045536 5606139176 6186084608 6862687612 8154384256 9046270034 9982091072 11212278352 13725375224 16308768512 18092540068 19964182144 22424556704 27450750448 36185080136 39928364288 44849113408 49754485187 54901500896 72370160272 89698226816 99508970374 109803001792 144740320544 179396453632 199017940748 219606003584 289480641088 398035881496 439212007168 578961282176 796071762992 1157922564352 1592143525984 3184287051968 6368574103936 12737148207872