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10035203040 = 253256968891
BaseRepresentation
bin10010101100010010…
…10000101111100000
3221220101000010121200
421112021100233200
5131023002444130
64335441121200
7503452550502
oct112611205740
927811003550
1010035203040
11428a679635
121b40929200
13c3c094785
146b2ac7d72
153db013760
hex256250be0

10035203040 has 72 divisors (see below), whose sum is σ = 34245135288. Its totient is φ = 2676053760.

The previous prime is 10035203027. The next prime is 10035203089. The reversal of 10035203040 is 4030253001.

10035203040 is a `hidden beast` number, since 10 + 0 + 352 + 0 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3483006 + ... + 3485885.

It is an arithmetic number, because the mean of its divisors is an integer number (475626879).

Almost surely, 210035203040 is an apocalyptic number.

10035203040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10035203040 is an abundant number, since it is smaller than the sum of its proper divisors (24209932248).

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

10035203040 is a wasteful number, since it uses less digits than its factorization.

10035203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6968912 (or 6968901 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10035203040 its reverse (4030253001), we get a palindrome (14065456041).

The spelling of 10035203040 in words is "ten billion, thirty-five million, two hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 6968891 13937782 20906673 27875564 34844455 41813346 55751128 62720019 69688910 83626692 104533365 111502256 125440038 139377820 167253384 209066730 223004512 250880076 278755640 313600095 334506768 418133460 501760152 557511280 627200190 669013536 836266920 1003520304 1115022560 1254400380 1672533840 2007040608 2508800760 3345067680 5017601520 10035203040