Search a number
-
+
61219871232 = 2931317180347
BaseRepresentation
bin111001000000111111…
…010001101000000000
312212000111222200111020
4321000333101220000
52000334241334412
644042442145440
74265041214412
oct710077215000
9185014880436
1061219871232
1123a66026403
12ba464b2280
135a083bb2a0
142d6a8b69b2
1518d48b618c
hexe40fd1a00

61219871232 has 160 divisors (see below), whose sum is σ = 185971972032. Its totient is φ = 17728733184.

The previous prime is 61219871173. The next prime is 61219871257. The reversal of 61219871232 is 23217891216.

It is a super-2 number, since 2×612198712322 (a number of 22 digits) contains 22 as substring.

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, 249283 + ... + 429629.

Almost surely, 261219871232 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 61219871232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92985986016).

61219871232 is an abundant number, since it is smaller than the sum of its proper divisors (124752100800).

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

61219871232 is a wasteful number, since it uses less digits than its factorization.

61219871232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180398 (or 180382 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The spelling of 61219871232 in words is "sixty-one billion, two hundred nineteen million, eight hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 512 544 624 663 768 816 832 884 1088 1248 1326 1536 1632 1664 1768 2176 2496 2652 3264 3328 3536 4352 4992 5304 6528 6656 7072 8704 9984 10608 13056 14144 19968 21216 26112 28288 42432 56576 84864 113152 169728 180347 339456 360694 541041 721388 1082082 1442776 2164164 2344511 2885552 3065899 4328328 4689022 5771104 6131798 7033533 8656656 9197697 9378044 11542208 12263596 14067066 17313312 18395394 18756088 23084416 24527192 28134132 34626624 36790788 37512176 39856687 46168832 49054384 56268264 69253248 73581576 75024352 79713374 92337664 98108768 112536528 119570061 138506496 147163152 150048704 159426748 196217536 225073056 239140122 277012992 294326304 300097408 318853496 392435072 450146112 478280244 588652608 600194816 637706992 784870144 900292224 956560488 1177305216 1200389632 1275413984 1569740288 1800584448 1913120976 2354610432 2550827968 3601168896 3826241952 4709220864 5101655936 7652483904 10203311872 15304967808 20406623744 30609935616 61219871232