Search a number
-
+
103700770007072 = 25715122613135581
BaseRepresentation
bin10111100101000010110111…
…100011110010100000100000
3111121011200210221222121121012
4113211002313203302200200
5102043013134110211242
61004315250455320052
730562063516160420
oct2745026743624040
9447150727877535
10103700770007072
1130051282217227
12b769aa2080028
1345b2c2c7c3c64
141b872033ac480
15bec7659bb282
hex5e50b78f2820

103700770007072 has 96 divisors (see below), whose sum is σ = 234884061667584. Its totient is φ = 44146583424000.

The previous prime is 103700770007059. The next prime is 103700770007141. The reversal of 103700770007072 is 270700077007301.

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, 764794322 + ... + 764929902.

It is an arithmetic number, because the mean of its divisors is an integer number (2446708975704).

Almost surely, 2103700770007072 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 103700770007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117442030833792).

103700770007072 is an abundant number, since it is smaller than the sum of its proper divisors (131183291660512).

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

103700770007072 is a wasteful number, since it uses less digits than its factorization.

103700770007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158362 (or 158354 counting only the distinct ones).

The product of its (nonzero) digits is 100842, while the sum is 41.

The spelling of 103700770007072 in words is "one hundred three trillion, seven hundred billion, seven hundred seventy million, seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 604 1057 1208 2114 2416 4228 4832 8456 16912 22613 33824 45226 90452 135581 158291 180904 271162 316582 361808 542324 633164 723616 949067 1084648 1266328 1898134 2169296 2532656 3414563 3796268 4338592 5065312 6829126 7592536 13658252 15185072 20472731 23901941 27316504 30370144 40945462 47803882 54633008 81890924 95607764 109266016 143309117 163781848 191215528 286618234 327563696 382431056 573236468 655127392 764862112 1146472936 2292945872 3065893153 4585891744 6131786306 12263572612 21461252071 24527145224 42922504142 49054290448 85845008284 98108580896 171690016568 343380033136 462949866103 686760066272 925899732206 1851799464412 3240649062721 3703598928824 6481298125442 7407197857648 12962596250884 14814395715296 25925192501768 51850385003536 103700770007072