Search a number
-
+
61153548972 = 2232916726301
BaseRepresentation
bin111000111101000010…
…010001101010101100
312211211220012011110020
4320331002101222230
52000220302031342
644032112442140
74263304406145
oct707502215254
9184756164406
1061153548972
1123a3164751a
12ba28249350
1359c7739749
142d61b70acc
1518cdb650ec
hexe3d091aac

61153548972 has 72 divisors (see below), whose sum is σ = 148524779760. Its totient is φ = 19560643200.

The previous prime is 61153548949. The next prime is 61153548997. The reversal of 61153548972 is 27984535116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9702222 + ... + 9708522.

Almost surely, 261153548972 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 61153548972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74262389880).

61153548972 is an abundant number, since it is smaller than the sum of its proper divisors (87371230788).

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

61153548972 is a wasteful number, since it uses less digits than its factorization.

61153548972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671 (or 6502 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The spelling of 61153548972 in words is "sixty-one billion, one hundred fifty-three million, five hundred forty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 167 174 334 348 501 668 1002 2004 4843 6301 9686 12602 14529 18903 19372 25204 27889 29058 37806 55778 58116 75612 83667 111556 167334 182729 334668 365458 548187 730916 808781 1052267 1096374 1617562 2104534 2192748 2426343 3156801 3235124 4209068 4852686 6313602 9705372 12627204 30515743 61031486 91547229 122062972 175728589 183094458 351457178 366188916 527185767 702914356 1054371534 2108743068 5096129081 10192258162 15288387243 20384516324 30576774486 61153548972