Search a number
-
+
151347471792 = 243112112923081
BaseRepresentation
bin1000110011110100000…
…0110010010110110000
3112110122122222011200020
42030331000302112300
54434424423044132
6153310021323440
713635350166306
oct2147500622660
9473578864606
10151347471792
115920577a700
12253b9b66580
131136c798b4a
14747a70c276
153e0c04a52c
hex233d0325b0

151347471792 has 120 divisors (see below), whose sum is σ = 430155228720. Its totient is φ = 45820262400.

The previous prime is 151347471761. The next prime is 151347471823. The reversal of 151347471792 is 297174743151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151347471761) and next prime (151347471823).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6545692 + ... + 6568772.

It is an arithmetic number, because the mean of its divisors is an integer number (3584626906).

Almost surely, 2151347471792 is an apocalyptic number.

151347471792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151347471792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215077614360).

151347471792 is an abundant number, since it is smaller than the sum of its proper divisors (278807756928).

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

151347471792 is a wasteful number, since it uses less digits than its factorization.

151347471792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24243 (or 24226 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The spelling of 151347471792 in words is "one hundred fifty-one billion, three hundred forty-seven million, four hundred seventy-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1129 1452 1936 2258 2904 3387 4516 5808 6774 9032 12419 13548 18064 23081 24838 27096 37257 46162 49676 54192 69243 74514 92324 99352 136609 138486 149028 184648 198704 253891 273218 276972 298056 369296 409827 507782 546436 553944 596112 761673 819654 1015564 1092872 1107888 1523346 1639308 2031128 2185744 2792801 3046692 3278616 4062256 5585602 6093384 6557232 8378403 11171204 12186768 16756806 22342408 26058449 33513612 44684816 52116898 67027224 78175347 104233796 134054448 156350694 208467592 286642939 312701388 416935184 573285878 625402776 859928817 1146571756 1250805552 1719857634 2293143512 3153072329 3439715268 4586287024 6306144658 6879430536 9459216987 12612289316 13758861072 18918433974 25224578632 37836867948 50449157264 75673735896 151347471792