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61031169936 = 243211337311423
BaseRepresentation
bin111000110101101111…
…011011111110010000
312211112100220122222100
4320311233123332100
51444442434414221
644012021440400
74260260246022
oct706557337620
9184470818870
1061031169936
1123979560320
12b9b3270100
1359a828ba09
142d4d7d6012
1518c303e926
hexe35bdbf90

61031169936 has 120 divisors (see below), whose sum is σ = 186401569536. Its totient is φ = 18487192320.

The previous prime is 61031169907. The next prime is 61031169949. The reversal of 61031169936 is 63996113016.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 61031169891 and 61031169900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5337121 + ... + 5348543.

Almost surely, 261031169936 is an apocalyptic number.

61031169936 is a gapful number since it is divisible by the number (66) 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 61031169936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93200784768).

61031169936 is an abundant number, since it is smaller than the sum of its proper divisors (125370399600).

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

61031169936 is a wasteful number, since it uses less digits than its factorization.

61031169936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14821 (or 14812 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 61031169936 in words is "sixty-one billion, thirty-one million, one hundred sixty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 3373 6746 10119 11423 13492 20238 22846 26984 30357 34269 37103 40476 45692 53968 60714 68538 74206 80952 91384 102807 111309 121428 125653 137076 148412 161904 182768 205614 222618 242856 251306 274152 296824 333927 376959 411228 445236 485712 502612 548304 593648 667854 753918 822456 890472 1005224 1130877 1335708 1507836 1644912 1780944 2010448 2261754 2671416 3015672 4523508 5342832 6031344 9047016 18094032 38529779 77059558 115589337 154119116 231178674 308238232 346768011 423827569 462357348 616476464 693536022 847655138 924714696 1271482707 1387072044 1695310276 1849429392 2542965414 2774144088 3390620552 3814448121 5085930828 5548288176 6781241104 7628896242 10171861656 15257792484 20343723312 30515584968 61031169936