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7013965984 = 2529431371283
BaseRepresentation
bin1101000100001000…
…01010000010100000
3200002211000101111221
412202010022002200
5103331033402414
63115553344424
7335545504264
oct64204120240
920084011457
107013965984
112a7a223503
121438b68114
1387a185a3c
144a77540a4
152b0b77224
hex1a210a0a0

7013965984 has 96 divisors (see below), whose sum is σ = 14735286720. Its totient is φ = 3280607232.

The previous prime is 7013965979. The next prime is 7013966009. The reversal of 7013965984 is 4895693107.

It is a happy 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, 5466207 + ... + 5467489.

It is an arithmetic number, because the mean of its divisors is an integer number (153492570).

Almost surely, 27013965984 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 7013965984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367643360).

7013965984 is an abundant number, since it is smaller than the sum of its proper divisors (7721320736).

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

7013965984 is a wasteful number, since it uses less digits than its factorization.

7013965984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The square root of 7013965984 is about 83749.4237830924. The cubic root of 7013965984 is about 1914.2025265148.

The spelling of 7013965984 in words is "seven billion, thirteen million, nine hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 137 172 232 274 344 464 548 688 928 1096 1247 1283 1376 2192 2494 2566 3973 4384 4988 5132 5891 7946 9976 10264 11782 15892 19952 20528 23564 31784 37207 39904 41056 47128 55169 63568 74414 94256 110338 127136 148828 170839 175771 188512 220676 297656 341678 351542 441352 595312 683356 703084 882704 1190624 1366712 1406168 1599901 1765408 2733424 2812336 3199802 5097359 5466848 5624672 6399604 7558153 10194718 12799208 15116306 20389436 25598416 30232612 40778872 51196832 60465224 81557744 120930448 163115488 219186437 241860896 438372874 876745748 1753491496 3506982992 7013965984