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6290379213824 = 21041511929269
BaseRepresentation
bin101101110001001011111…
…0100011000110000000000
3211021100120100021000002102
41123202113310120300000
51311030144034320244
621213432121205532
71216315314051326
oct133422764306000
924240510230072
106290379213824
11200580a0926a2
1285714b3308a8
13368245c15604
1417a6552c1d16
15ad961be354e
hex5b897d18c00

6290379213824 has 88 divisors (see below), whose sum is σ = 12884269977600. Its totient is φ = 3067773419520.

The previous prime is 6290379213823. The next prime is 6290379213847. The reversal of 6290379213824 is 4283129730926.

It is a self number, because there is not a number n which added to its sum of digits gives 6290379213824.

It is not an unprimeable number, because it can be changed into a prime (6290379213823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214901462 + ... + 214930730.

Almost surely, 26290379213824 is an apocalyptic number.

6290379213824 is a gapful number since it is divisible by the number (64) 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 6290379213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442134988800).

6290379213824 is an abundant number, since it is smaller than the sum of its proper divisors (6593890763776).

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

6290379213824 is a wasteful number, since it uses less digits than its factorization.

6290379213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34449 (or 34431 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 6290379213824 in words is "six trillion, two hundred ninety billion, three hundred seventy-nine million, two hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2624 5119 5248 10238 10496 20476 20992 29269 40952 41984 58538 81904 117076 163808 209879 234152 327616 419758 468304 655232 839516 936608 1200029 1310464 1679032 1873216 2400058 2620928 3358064 3746432 4800116 5241856 6716128 7492864 9600232 13432256 14985728 19200464 26864512 29971456 38400928 53729024 76801856 107458048 149828011 153603712 214916096 299656022 307207424 599312044 614414848 1198624088 1228829696 2397248176 4794496352 6142948451 9588992704 12285896902 19177985408 24571793804 38355970816 49143587608 76711941632 98287175216 153423883264 196574350432 393148700864 786297401728 1572594803456 3145189606912 6290379213824