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150734956516 = 221721926012
BaseRepresentation
bin1000110001100010000…
…0001110011111100100
3112102001222102011200021
42030120200032133210
54432201122102031
6153125141124524
713614231663424
oct2143040163744
9472058364607
10150734956516
1158a20a53931
12252689b9744
13112a290a881
14741d228484
153dc33a9511
hex231880e7e4

150734956516 has 81 divisors (see below), whose sum is σ = 296233080507. Its totient is φ = 67088908800.

The previous prime is 150734956501. The next prime is 150734956531. The reversal of 150734956516 is 615659437051.

The square root of 150734956516 is 388246.

It is a perfect power (a square), and thus also a powerful number.

150734956516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150734956501) and next prime (150734956531).

It can be written as a sum of positive squares in 4 ways, for example, as 58134032100 + 92600924416 = 241110^2 + 304304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 250806616 + ... + 250807216.

Almost surely, 2150734956516 is an apocalyptic number.

150734956516 is the 388246-th square number.

It is an amenable number.

150734956516 is a deficient number, since it is larger than the sum of its proper divisors (145498123991).

150734956516 is an equidigital number, since it uses as much as digits as its factorization.

150734956516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 52.

The spelling of 150734956516 in words is "one hundred fifty billion, seven hundred thirty-four million, nine hundred fifty-six thousand, five hundred sixteen".

Divisors: 1 2 4 17 19 34 38 68 76 289 323 361 578 601 646 722 1156 1202 1292 1444 2404 5491 6137 10217 10982 11419 12274 20434 21964 22838 24548 40868 45676 104329 173689 194123 208658 216961 347378 361201 388246 417316 433922 694756 722402 776492 867844 1444804 3300091 3688337 6140417 6600182 6862819 7376674 12280834 13200364 13725638 14753348 24561668 27451276 62701729 104387089 116667923 125403458 130393561 208774178 233335846 250806916 260787122 417548356 466671692 521574244 1983354691 2216690537 3966709382 4433381074 7933418764 8866762148 37683739129 75367478258 150734956516