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10150060090960 = 2451061311954749
BaseRepresentation
bin1001001110110011111010…
…1110011110011001010000
31022221100002010202201000001
42103230332232132121100
52312244310340402320
633330512341335344
72065213644151666
oct223547656363120
938840063681001
1010150060090960
113263686345419
12117b196707554
135881b9cb715a
142713a0882c36
1512905de4220a
hex93b3eb9e650

10150060090960 has 40 divisors (see below), whose sum is σ = 23601115269000. Its totient is φ = 4059641144832.

The previous prime is 10150060090921. The next prime is 10150060090969. The reversal of 10150060090960 is 6909006005101.

It can be written as a sum of positive squares in 4 ways, for example, as 3891277007424 + 6258783083536 = 1972632^2 + 2501756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10150060090969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5128335 + ... + 6826414.

It is an arithmetic number, because the mean of its divisors is an integer number (590027881725).

Almost surely, 210150060090960 is an apocalyptic number.

10150060090960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10150060090960 is an abundant number, since it is smaller than the sum of its proper divisors (13451055178040).

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

10150060090960 is a wasteful number, since it uses less digits than its factorization.

10150060090960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965375 (or 11965369 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The spelling of 10150060090960 in words is "ten trillion, one hundred fifty billion, sixty million, ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10613 21226 42452 53065 84904 106130 169808 212260 424520 849040 11954749 23909498 47818996 59773745 95637992 119547490 191275984 239094980 478189960 956379920 126875751137 253751502274 507503004548 634378755685 1015006009096 1268757511370 2030012018192 2537515022740 5075030045480 10150060090960