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113433780054 = 23747717311087
BaseRepresentation
bin110100110100100101…
…1100001111101010110
3101211210101200002002010
41221221023201331112
53324303021430204
6124035531325050
711123665136010
oct1515113417526
9354711602063
10113433780054
114411a458971
1219b988b0786
13a909a1c41a
1456c12651b0
152e3d7c3d89
hex1a692e1f56

113433780054 has 128 divisors (see below), whose sum is σ = 272226189312. Its totient is φ = 30842138880.

The previous prime is 113433780037. The next prime is 113433780071. The reversal of 113433780054 is 450087334311.

It is an interprime number because it is at equal distance from previous prime (113433780037) and next prime (113433780071).

It is a junction number, because it is equal to n+sod(n) for n = 113433779994 and 113433780021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10225699 + ... + 10236785.

It is an arithmetic number, because the mean of its divisors is an integer number (2126767104).

Almost surely, 2113433780054 is an apocalyptic number.

113433780054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113433780054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136113094656).

113433780054 is an abundant number, since it is smaller than the sum of its proper divisors (158792409258).

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

113433780054 is a wasteful number, since it uses less digits than its factorization.

113433780054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11290.

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 113433780054 in words is "one hundred thirteen billion, four hundred thirty-three million, seven hundred eighty thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 42 47 71 73 94 141 142 146 213 219 282 329 426 438 497 511 658 987 994 1022 1491 1533 1974 2982 3066 3337 3431 5183 6674 6862 10011 10293 10366 11087 15549 20022 20586 22174 23359 24017 31098 33261 36281 46718 48034 66522 70077 72051 72562 77609 108843 140154 144102 155218 217686 232827 243601 465654 487202 521089 730803 787177 809351 1042178 1461606 1563267 1574354 1618702 1705207 2361531 2428053 3126534 3410414 3647623 4723062 4856106 5115621 5510239 5665457 7295246 10231242 10942869 11020478 11330914 16530717 16996371 21885738 33061434 33992742 36997319 38039497 57463921 73994638 76078994 110991957 114118491 114927842 172391763 221983914 228236982 258981233 266276479 344783526 402247447 517962466 532552958 776943699 798829437 804494894 1206742341 1553887398 1597658874 2413484682 2700804287 5401608574 8102412861 16204825722 18905630009 37811260018 56716890027 113433780054