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36953390040 = 23357316432207
BaseRepresentation
bin100010011010100101…
…111111101111011000
310112101100022201022120
4202122211333233120
51101140031440130
624550503221240
72445511430010
oct423245775730
9115340281276
1036953390040
1114743252976
1271b3747820
13363bb2b988
141b07b10c40
15e642d7910
hex89a97fbd8

36953390040 has 256 divisors, whose sum is σ = 131047096320. Its totient is φ = 8157611520.

The previous prime is 36953390029. The next prime is 36953390137. The reversal of 36953390040 is 4009335963.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 36953389974 and 36953390001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16742617 + ... + 16744823.

It is an arithmetic number, because the mean of its divisors is an integer number (511902720).

Almost surely, 236953390040 is an apocalyptic number.

36953390040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36953390040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65523548160).

36953390040 is an abundant number, since it is smaller than the sum of its proper divisors (94093706280).

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

36953390040 is a wasteful number, since it uses less digits than its factorization.

36953390040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 42.

The spelling of 36953390040 in words is "thirty-six billion, nine hundred fifty-three million, three hundred ninety thousand, forty".