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309526740992 = 21473797121
BaseRepresentation
bin1001000000100010011…
…10110100000000000000
31002120221110011121120002
410200101032310000000
520032402321202432
6354110012135132
731235234613410
oct4402116640000
91076843147502
10309526740992
1110a2a6859867
124bba3a674a8
132325a767761
1410da44b0640
1580b8c36e62
hex48113b4000

309526740992 has 120 divisors (see below), whose sum is σ = 709434384960. Its totient is φ = 132285726720.

The previous prime is 309526740979. The next prime is 309526740997. The reversal of 309526740992 is 299047625903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309526740997) 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, 43463192 + ... + 43470312.

It is an arithmetic number, because the mean of its divisors is an integer number (5911953208).

Almost surely, 2309526740992 is an apocalyptic number.

309526740992 is a gapful number since it is divisible by the number (32) 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 309526740992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354717192480).

309526740992 is an abundant number, since it is smaller than the sum of its proper divisors (399907643968).

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

309526740992 is an frugal number, since it uses more digits than its factorization.

309526740992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 56.

The spelling of 309526740992 in words is "three hundred nine billion, five hundred twenty-six million, seven hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 379 448 512 758 896 1024 1516 1792 2048 2653 3032 3584 4096 5306 6064 7121 7168 8192 10612 12128 14242 14336 16384 21224 24256 28484 28672 42448 48512 49847 56968 57344 84896 97024 99694 113936 114688 169792 194048 199388 227872 339584 388096 398776 455744 679168 776192 797552 911488 1358336 1552384 1595104 1822976 2698859 2716672 3104768 3190208 3645952 5397718 5433344 6209536 6380416 7291904 10795436 10866688 12760832 14583808 18892013 21590872 21733376 25521664 29167616 37784026 43181744 43466752 51043328 58335232 75568052 86363488 102086656 116670464 151136104 172726976 204173312 302272208 345453952 408346624 604544416 690907904 816693248 1209088832 1381815808 2418177664 2763631616 4836355328 5527263232 9672710656 11054526464 19345421312 22109052928 38690842624 44218105856 77381685248 154763370496 309526740992