Search a number
-
+
151351925952 = 26331173146987
BaseRepresentation
bin1000110011110101000…
…1110001110011000000
3112110122222100110122010
42030331101301303000
54434432043112302
6153310301012520
713635433100223
oct2147521616300
9473588313563
10151351925952
1159208242127
12253bb554140
1311370698346
14747b14b5ba
153e0c62a16c
hex233d471cc0

151351925952 has 112 divisors (see below), whose sum is σ = 415762025472. Its totient is φ = 48540656640.

The previous prime is 151351925947. The next prime is 151351926013. The reversal of 151351925952 is 259529153151.

It is a super-2 number, since 2×1513519259522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956203 + ... + 1103189.

Almost surely, 2151351925952 is an apocalyptic number.

151351925952 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 151351925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207881012736).

151351925952 is an abundant number, since it is smaller than the sum of its proper divisors (264410099520).

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

151351925952 is a wasteful number, since it uses less digits than its factorization.

151351925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147206 (or 147196 counting only the distinct ones).

The product of its digits is 607500, while the sum is 48.

The spelling of 151351925952 in words is "one hundred fifty-one billion, three hundred fifty-one million, nine hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 173 186 192 248 346 372 496 519 692 744 992 1038 1384 1488 1984 2076 2768 2976 4152 5363 5536 5952 8304 10726 11072 16089 16608 21452 32178 33216 42904 64356 85808 128712 146987 171616 257424 293974 343232 440961 514848 587948 881922 1029696 1175896 1763844 2351792 3527688 4556597 4703584 7055376 9113194 9407168 13669791 14110752 18226388 25428751 27339582 28221504 36452776 50857502 54679164 72905552 76286253 101715004 109358328 145811104 152572506 203430008 218716656 291622208 305145012 406860016 437433312 610290024 788291281 813720032 874866624 1220580048 1576582562 1627440064 2364873843 2441160096 3153165124 4729747686 4882320192 6306330248 9459495372 12612660496 18918990744 25225320992 37837981488 50450641984 75675962976 151351925952