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125126500026 = 23112374799109
BaseRepresentation
bin111010010001000011…
…1101101111010111010
3102221222021120210110210
41310202013231322322
54022224341000101
6133252103051550
712016515462423
oct1644207557272
9387867523423
10125126500026
114907a713500
1220300740bb6
13ba51307638
1460b013664a
1533c50987d6
hex1d221edeba

125126500026 has 96 divisors (see below), whose sum is σ = 288519517440. Its totient is φ = 36107026560.

The previous prime is 125126500003. The next prime is 125126500049. The reversal of 125126500026 is 620005621521.

It is an interprime number because it is at equal distance from previous prime (125126500003) and next prime (125126500049).

It is a junction number, because it is equal to n+sod(n) for n = 125126499966 and 125126500002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1212960 + ... + 1312068.

It is an arithmetic number, because the mean of its divisors is an integer number (3005411640).

Almost surely, 2125126500026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125126500026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144259758720).

125126500026 is an abundant number, since it is smaller than the sum of its proper divisors (163393017414).

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

125126500026 is a wasteful number, since it uses less digits than its factorization.

125126500026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99220 (or 99209 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 125126500026 in words is "one hundred twenty-five billion, one hundred twenty-six million, five hundred thousand, twenty-six".

Divisors: 1 2 3 6 11 22 33 37 47 66 74 94 111 121 141 222 242 282 363 407 517 726 814 1034 1221 1551 1739 2442 3102 3478 4477 5217 5687 8954 10434 11374 13431 17061 19129 26862 34122 38258 57387 99109 114774 198218 210419 297327 420838 594654 631257 1090199 1262514 2180398 3270597 3667033 4658123 6541194 7334066 9316246 11001099 11992189 13974369 22002198 23984378 27948738 35976567 40337363 51239353 71953134 80674726 102478706 121012089 153718059 172350551 242024178 307436118 344701102 443710993 517051653 563632883 887421986 1034103306 1127265766 1331132979 1690898649 1895856061 2662265958 3381797298 3791712122 5687568183 11375136366 20854416671 41708833342 62563250013 125126500026