Search a number
-
+
103712851736 = 231319139377599
BaseRepresentation
bin110000010010111000…
…1001000011100011000
3100220200221000202022222
41200211301020130120
53144400442223421
6115351154203212
710331046460064
oct1404561103430
9326627022288
10103712851736
113aa9122360a
1218125283508
139a1aab2c30
14503c1c8aa4
152a7018dcab
hex1825c48718

103712851736 has 64 divisors (see below), whose sum is σ = 222028800000. Its totient is φ = 45021764736.

The previous prime is 103712851657. The next prime is 103712851771. The reversal of 103712851736 is 637158217301.

It is a congruent number.

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, 85865 + ... + 463463.

It is an arithmetic number, because the mean of its divisors is an integer number (3469200000).

Almost surely, 2103712851736 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 103712851736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111014400000).

103712851736 is an abundant number, since it is smaller than the sum of its proper divisors (118315948264).

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

103712851736 is a wasteful number, since it uses less digits than its factorization.

103712851736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377776 (or 377772 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 103712851736 in words is "one hundred three billion, seven hundred twelve million, eight hundred fifty-one thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 139 152 247 278 494 556 988 1112 1807 1976 2641 3614 5282 7228 10564 14456 21128 34333 68666 137332 274664 377599 755198 1510396 3020792 4908787 7174381 9817574 14348762 19635148 28697524 39270296 52486261 57395048 93266953 104972522 186533906 209945044 373067812 419890088 682321393 746135624 997238959 1364642786 1994477918 2729285572 3988955836 5458571144 7977911672 12964106467 25928212934 51856425868 103712851736