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6429292704 = 253412719531
BaseRepresentation
bin1011111110011011…
…10011100010100000
3121121001211220120000
411333031303202200
5101131344331304
62541550020000
7315216041412
oct57715634240
917531756500
106429292704
1127aa19384a
1212b51a7600
137b5cc5413
1444dc3a9b2
15279685939
hex17f3738a0

6429292704 has 120 divisors (see below), whose sum is σ = 19058231808. Its totient is φ = 2126113920.

The previous prime is 6429292693. The next prime is 6429292729. The reversal of 6429292704 is 4072929246.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6429292704.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 319419 + ... + 338949.

Almost surely, 26429292704 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 6429292704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9529115904).

6429292704 is an abundant number, since it is smaller than the sum of its proper divisors (12628939104).

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

6429292704 is a wasteful number, since it uses less digits than its factorization.

6429292704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19680 (or 19663 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6429292704 is about 80182.8703901276. The cubic root of 6429292704 is about 1859.4638204772.

The spelling of 6429292704 in words is "six billion, four hundred twenty-nine million, two hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 127 144 162 216 254 288 324 381 432 508 648 762 864 1016 1143 1296 1524 2032 2286 2592 3048 3429 4064 4572 6096 6858 9144 10287 12192 13716 18288 19531 20574 27432 36576 39062 41148 54864 58593 78124 82296 109728 117186 156248 164592 175779 234372 312496 329184 351558 468744 527337 624992 703116 937488 1054674 1406232 1582011 1874976 2109348 2480437 2812464 3164022 4218696 4960874 5624928 6328044 7441311 8437392 9921748 12656088 14882622 16874784 19843496 22323933 25312176 29765244 39686992 44647866 50624352 59530488 66971799 79373984 89295732 119060976 133943598 178591464 200915397 238121952 267887196 357182928 401830794 535774392 714365856 803661588 1071548784 1607323176 2143097568 3214646352 6429292704