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126012466432 = 2831371812371
BaseRepresentation
bin111010101011011101…
…1011010010100000000
3110001021000200112220101
41311112323122110000
54031033142411212
6133520032252144
712050464202026
oct1652673322400
9401230615811
10126012466432
1149494830146
12205093a1054
13bb62a29508
146155a7c716
153427c52157
hex1d56eda500

126012466432 has 144 divisors (see below), whose sum is σ = 268250504704. Its totient is φ = 58973184000.

The previous prime is 126012466423. The next prime is 126012466453. The reversal of 126012466432 is 234664210621.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 126012466391 and 126012466400.

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, 53146207 + ... + 53148577.

Almost surely, 2126012466432 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 126012466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134125252352).

126012466432 is an abundant number, since it is smaller than the sum of its proper divisors (142238038272).

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

126012466432 is a wasteful number, since it uses less digits than its factorization.

126012466432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 126012466432 in words is "one hundred twenty-six billion, twelve million, four hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 181 248 256 296 362 496 592 724 992 1147 1184 1448 1984 2294 2368 2371 2896 3968 4588 4736 4742 5611 5792 6697 7936 9176 9472 9484 11222 11584 13394 18352 18968 22444 23168 26788 36704 37936 44888 46336 53576 73408 73501 75872 87727 89776 107152 146816 147002 151744 175454 179552 207607 214304 293632 294004 303488 350908 359104 415214 428608 429151 588008 606976 701816 718208 830428 857216 858302 1176016 1403632 1436416 1660856 1714432 1716604 2352032 2719537 2807264 3321712 3433208 4704064 5439074 5614528 6643424 6866416 9408128 10878148 11229056 13286848 13303681 13732832 15878587 18816256 21756296 22458112 26573696 26607362 27465664 31757174 43512592 53147392 53214724 54931328 63514348 87025184 106429448 109862656 127028696 174050368 212858896 254057392 348100736 425717792 492236197 508114784 696201472 851435584 984472394 1016229568 1702871168 1968944788 2032459136 3405742336 3937889576 4064918272 7875779152 15751558304 31503116608 63006233216 126012466432