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6997257398640 = 2435291231001107
BaseRepresentation
bin110010111010010110100…
…0010101010100101110000
3220202221010220021101121010
41211310231002222211300
51404120340343224030
622514255022030520
71321351363352655
oct145645502524560
926687126241533
106997257398640
11225857a424353
12950147418440
133b9ab93772a2
141a2951cb3c2c
15c2034a516b0
hex65d2d0aa970

6997257398640 has 80 divisors (see below), whose sum is σ = 21692264427648. Its totient is φ = 1865869371648.

The previous prime is 6997257398633. The next prime is 6997257398687. The reversal of 6997257398640 is 468937527996.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×69972573986402 (a number of 26 digits) contains 22 as substring.

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, 6488967 + ... + 7490073.

Almost surely, 26997257398640 is an apocalyptic number.

6997257398640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6997257398640 is an abundant number, since it is smaller than the sum of its proper divisors (14695007029008).

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

6997257398640 is a wasteful number, since it uses less digits than its factorization.

6997257398640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030246 (or 1030240 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 75.

The spelling of 6997257398640 in words is "six trillion, nine hundred ninety-seven billion, two hundred fifty-seven million, three hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 29123 58246 87369 116492 145615 174738 232984 291230 349476 436845 465968 582460 698952 873690 1001107 1164920 1397904 1747380 2002214 2329840 3003321 3494760 4004428 5005535 6006642 6989520 8008856 10011070 12013284 15016605 16017712 20022140 24026568 30033210 40044280 48053136 60066420 80088560 120132840 240265680 29155239161 58310478322 87465717483 116620956644 145776195805 174931434966 233241913288 291552391610 349862869932 437328587415 466483826576 583104783220 699725739864 874657174830 1166209566440 1399451479728 1749314349660 2332419132880 3498628699320 6997257398640