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10252678041400 = 2352278918380563
BaseRepresentation
bin1001010100110010001100…
…1110111000111100111000
31100022010221202112201010011
42111030203032320330320
52320434441034311100
633450003144231304
72105505630303034
oct225144316707470
940263852481104
1010252678041400
1132a3155516423
12119705516b534
13594a91cb30a2
142763374991c4
1512ba67e05bba
hex953233b8f38

10252678041400 has 48 divisors (see below), whose sum is σ = 23846024705400. Its totient is φ = 4099600548480.

The previous prime is 10252678041349. The next prime is 10252678041401. The reversal of 10252678041400 is 414087625201.

10252678041400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102526780414002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252678041401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8632482 + ... + 9748081.

Almost surely, 210252678041400 is an apocalyptic number.

10252678041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10252678041400 is an abundant number, since it is smaller than the sum of its proper divisors (13593346664000).

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

10252678041400 is a wasteful number, since it uses less digits than its factorization.

10252678041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18383368 (or 18383359 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 10252678041400 in words is "ten trillion, two hundred fifty-two billion, six hundred seventy-eight million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2789 5578 11156 13945 22312 27890 55780 69725 111560 139450 278900 557800 18380563 36761126 73522252 91902815 147044504 183805630 367611260 459514075 735222520 919028150 1838056300 3676112600 51263390207 102526780414 205053560828 256316951035 410107121656 512633902070 1025267804140 1281584755175 2050535608280 2563169510350 5126339020700 10252678041400