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1003069907152 = 241929131868537
BaseRepresentation
bin11101001100010111010…
…00000010000011010000
310112220002122222212101221
432212023220002003100
5112413241344012102
62044445353134424
7132320002350445
oct16461350020320
93486078885357
101003069907152
113574438a3645
1214249a0ba414
13737872b8551
14367980499cc
151b15b018637
hexe98ba020d0

1003069907152 has 80 divisors (see below), whose sum is σ = 2132434497600. Its totient is φ = 455251829760.

The previous prime is 1003069907143. The next prime is 1003069907197. The reversal of 1003069907152 is 2517099603001.

It is a super-2 number, since 2×10030699071522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003069907099 and 1003069907108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720628 + ... + 1589164.

It is an arithmetic number, because the mean of its divisors is an integer number (26655431220).

Almost surely, 21003069907152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003069907152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066217248800).

1003069907152 is an abundant number, since it is smaller than the sum of its proper divisors (1129364590448).

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

1003069907152 is a wasteful number, since it uses less digits than its factorization.

1003069907152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868724 (or 868718 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 1003069907152 in words is "one trillion, three billion, sixty-nine million, nine hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 131 152 232 262 304 464 524 551 1048 1102 2096 2204 2489 3799 4408 4978 7598 8816 9956 15196 19912 30392 39824 60784 72181 144362 288724 577448 868537 1154896 1737074 3474148 6948296 13896592 16502203 25187573 33004406 50375146 66008812 100750292 113778347 132017624 201500584 227556694 264035248 403001168 455113388 478563887 910226776 957127774 1820453552 1914255548 2161788593 3299572063 3828511096 4323577186 6599144126 7657022192 8647154372 13198288252 17294308744 26396576504 34588617488 52793153008 62691869197 125383738394 250767476788 501534953576 1003069907152