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6997040521542 = 233434774386291
BaseRepresentation
bin110010111010010000000…
…0111010110000101000110
3220202220120210011220011000
41211310200013112011012
51404114414333142132
622514221313354130
71321343121054141
oct145644007260506
926686523156130
106997040521542
112258478a64385
129500a6868946
133b9a83461146
141a293117b058
15c20209b187c
hex65d201d6146

6997040521542 has 128 divisors (see below), whose sum is σ = 16271164293120. Its totient is φ = 2226609211680.

The previous prime is 6997040521501. The next prime is 6997040521543. The reversal of 6997040521542 is 2451250407996.

It is a happy number.

6997040521542 is a `hidden beast` number, since 6 + 9 + 9 + 7 + 0 + 40 + 52 + 1 + 542 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6997040521543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81043417 + ... + 81129707.

It is an arithmetic number, because the mean of its divisors is an integer number (127118471040).

Almost surely, 26997040521542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6997040521542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135582146560).

6997040521542 is an abundant number, since it is smaller than the sum of its proper divisors (9274123771578).

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

6997040521542 is a wasteful number, since it uses less digits than its factorization.

6997040521542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87135 (or 87129 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 6997040521542 in words is "six trillion, nine hundred ninety-seven billion, forty million, five hundred twenty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 47 54 86 94 129 141 258 282 387 423 743 774 846 1161 1269 1486 2021 2229 2322 2538 4042 4458 6063 6687 12126 13374 18189 20061 31949 34921 36378 40122 54567 63898 69842 86291 95847 104763 109134 172582 191694 209526 258873 287541 314289 517746 575082 628578 776619 862623 942867 1501603 1553238 1725246 1885734 2329857 3003206 3710513 4055677 4504809 4659714 7421026 8111354 9009618 11131539 12167031 13514427 22263078 24334062 27028854 33394617 36501093 40543281 64114213 66789234 73002186 81086562 100183851 109503279 128228426 174394111 192342639 200367702 219006558 348788222 384685278 523182333 577027917 1046364666 1154055834 1569546999 1731083751 2756911159 3013368011 3139093998 3462167502 4708640997 5513822318 6026736022 8270733477 9040104033 9417281994 16541466954 18080208066 24812200431 27120312099 49624400862 54240624198 74436601293 81360936297 129574824473 148873202586 162721872594 259149648946 388724473419 777448946838 1166173420257 2332346840514 3498520260771 6997040521542