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6993903552 = 263293140519
BaseRepresentation
bin1101000001101111…
…00111111111000000
3200001102021010000220
412200313213333000
5103310414403202
63113555343040
7335213125236
oct64067477700
920042233026
106993903552
112a69970289
1214322b1a80
13875c8008c
144a4c10956
152ae012abc
hex1a0de7fc0

6993903552 has 112 divisors (see below), whose sum is σ = 19760793600. Its totient is φ = 2178247680.

The previous prime is 6993903509. The next prime is 6993903557. The reversal of 6993903552 is 2553093996.

It is a junction number, because it is equal to n+sod(n) for n = 6993903495 and 6993903504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6993903557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152349 + ... + 192867.

Almost surely, 26993903552 is an apocalyptic number.

6993903552 is a gapful number since it is divisible by the number (62) 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 6993903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9880396800).

6993903552 is an abundant number, since it is smaller than the sum of its proper divisors (12766890048).

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

6993903552 is a wasteful number, since it uses less digits than its factorization.

6993903552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40594 (or 40584 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 51.

The square root of 6993903552 is about 83629.5614720058. The cubic root of 6993903552 is about 1912.3756840720.

The spelling of 6993903552 in words is "six billion, nine hundred ninety-three million, nine hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 5394 5568 5952 7192 10788 14384 21576 28768 40519 43152 57536 81038 86304 121557 162076 172608 243114 324152 486228 648304 972456 1175051 1256089 1296608 1944912 2350102 2512178 2593216 3525153 3768267 3889824 4700204 5024356 7050306 7536534 7779648 9400408 10048712 14100612 15073068 18800816 20097424 28201224 30146136 36426581 37601632 40194848 56402448 60292272 72853162 75203264 80389696 109279743 112804896 120584544 145706324 218559486 225609792 241169088 291412648 437118972 582825296 874237944 1165650592 1748475888 2331301184 3496951776 6993903552