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61103435432 = 23135979233541
BaseRepresentation
bin111000111010000011…
…000110111010101000
312211201101220010121012
4320322003012322220
52000114434413212
644023122403052
74262125426424
oct707203067250
9184641803535
1061103435432
1123a06329476
12ba13500488
1359ba241770
142d59247b84
1518c9566922
hexe3a0c6ea8

61103435432 has 128 divisors (see below), whose sum is σ = 127842624000. Its totient is φ = 27204802560.

The previous prime is 61103435383. The next prime is 61103435447. The reversal of 61103435432 is 23453430116.

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 31 ways as a sum of consecutive naturals, for example, 112945082 + ... + 112945622.

It is an arithmetic number, because the mean of its divisors is an integer number (998770500).

Almost surely, 261103435432 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 61103435432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63921312000).

61103435432 is an abundant number, since it is smaller than the sum of its proper divisors (66739188568).

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

61103435432 is a wasteful number, since it uses less digits than its factorization.

61103435432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 61103435432 its reverse (23453430116), we get a palindrome (84556865548).

The spelling of 61103435432 in words is "sixty-one billion, one hundred three million, four hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 59 79 104 118 158 233 236 316 466 472 541 632 767 932 1027 1082 1534 1864 2054 2164 3029 3068 4108 4328 4661 6058 6136 7033 8216 9322 12116 13747 14066 18407 18644 24232 27494 28132 31919 36814 37288 42739 54988 56264 60593 63838 73628 85478 109976 121186 126053 127676 147256 170956 178711 239291 242372 252106 255352 341912 357422 414947 478582 484744 504212 555607 714844 829894 957164 1008424 1086013 1111214 1429688 1638689 1659788 1914328 2172026 2222428 2521601 3277378 3319576 4344052 4444856 5043202 6554756 7437127 8688104 9958187 10086404 13109512 14118169 14874254 19916374 20172808 28236338 29748508 32780813 39832748 56472676 59497016 65561626 79665496 96682651 112945352 129456431 131123252 193365302 258912862 262246504 386730604 517825724 587533033 773461208 1035651448 1175066066 2350132132 4700264264 7637929429 15275858858 30551717716 61103435432