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6145211640 = 2335129139667
BaseRepresentation
bin1011011100100100…
…00111110011111000
3120212021022002121010
411232102013303320
5100041133233030
62453441113520
7305166302631
oct55622076370
916767262533
106145211640
1126738a2507
1212360288a0
1376c1ac309
1442420c888
1525e76d6b0
hex16e487cf8

6145211640 has 64 divisors (see below), whose sum is σ = 18450380160. Its totient is φ = 1637412480.

The previous prime is 6145211627. The next prime is 6145211687. The reversal of 6145211640 is 461125416.

It is a super-2 number, since 2×61452116402 = 75527252200782979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6145211598 and 6145211607.

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, 135087 + ... + 174753.

It is an arithmetic number, because the mean of its divisors is an integer number (288287190).

Almost surely, 26145211640 is an apocalyptic number.

6145211640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6145211640 is an abundant number, since it is smaller than the sum of its proper divisors (12305168520).

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

6145211640 is a wasteful number, since it uses less digits than its factorization.

6145211640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40972 (or 40968 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6145211640 is about 78391.4002936547. The cubic root of 6145211640 is about 1831.6631778771.

The spelling of 6145211640 in words is "six billion, one hundred forty-five million, two hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1291 2582 3873 5164 6455 7746 10328 12910 15492 19365 25820 30984 38730 39667 51640 77460 79334 119001 154920 158668 198335 238002 317336 396670 476004 595005 793340 952008 1190010 1586680 2380020 4760040 51210097 102420194 153630291 204840388 256050485 307260582 409680776 512100970 614521164 768151455 1024201940 1229042328 1536302910 2048403880 3072605820 6145211640