Search a number
-
+
31062355704 = 233279269127
BaseRepresentation
bin11100111011011101…
…011110111011111000
32222011210022011102200
4130323131132323320
51002103430340304
622134142030200
72146516444542
oct347335367370
988153264380
1031062355704
111219a987656
12602a878360
132c104c5543
141709588692
15c1c025e39
hex73b75eef8

31062355704 has 72 divisors (see below), whose sum is σ = 85206827160. Its totient is φ = 10222905888.

The previous prime is 31062355703. The next prime is 31062355721. The reversal of 31062355704 is 40755326013.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×310623557044 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31062355703) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 414789 + ... + 483915.

It is an arithmetic number, because the mean of its divisors is an integer number (1183428155).

Almost surely, 231062355704 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 31062355704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42603413580).

31062355704 is an abundant number, since it is smaller than the sum of its proper divisors (54144471456).

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

31062355704 is a wasteful number, since it uses less digits than its factorization.

31062355704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69297 (or 69211 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 31062355704 in words is "thirty-one billion, sixty-two million, three hundred fifty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 6241 12482 18723 24964 37446 49928 56169 69127 74892 112338 138254 149784 207381 224676 276508 414762 449352 553016 622143 829524 1244286 1659048 2488572 4977144 5461033 10922066 16383099 21844132 32766198 43688264 49149297 65532396 98298594 131064792 196597188 393194376 431421607 862843214 1294264821 1725686428 2588529642 3451372856 3882794463 5177059284 7765588926 10354118568 15531177852 31062355704