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151620126216 = 233137915739181
BaseRepresentation
bin1000110100110101000…
…0111000011000001000
3112111100200000110020020
42031031100320120020
54441004223014331
6153353041300440
713645200544206
oct2151520703010
9474320013206
10151620126216
1159335676a39
1225475334720
13113b4110c20
1474a4a04076
153e25e56c96
hex234d438608

151620126216 has 128 divisors (see below), whose sum is σ = 416018803200. Its totient is φ = 45767255040.

The previous prime is 151620126193. The next prime is 151620126233. The reversal of 151620126216 is 612621026151.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3850146 + ... + 3889326.

It is an arithmetic number, because the mean of its divisors is an integer number (3250146900).

Almost surely, 2151620126216 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 151620126216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208009401600).

151620126216 is an abundant number, since it is smaller than the sum of its proper divisors (264398676984).

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

151620126216 is a wasteful number, since it uses less digits than its factorization.

151620126216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39439 (or 39435 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 151620126216 in words is "one hundred fifty-one billion, six hundred twenty million, one hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 157 158 237 312 314 316 471 474 628 632 942 948 1027 1256 1884 1896 2041 2054 3081 3768 4082 4108 6123 6162 8164 8216 12246 12324 12403 16328 24492 24648 24806 37209 39181 48984 49612 74418 78362 99224 117543 148836 156724 161239 235086 297672 313448 322478 470172 483717 509353 644956 940344 967434 1018706 1289912 1528059 1934868 2037412 3056118 3095299 3869736 4074824 6112236 6151417 6190598 9285897 12224472 12302834 12381196 18454251 18571794 24605668 24762392 36908502 37143588 40238887 49211336 73817004 74287176 79968421 80477774 120716661 147634008 159936842 160955548 239905263 241433322 319873684 321911096 479810526 482866644 485961943 639747368 959621052 965733288 971923886 1457885829 1919242104 1943847772 2915771658 3887695544 5831543316 6317505259 11663086632 12635010518 18952515777 25270021036 37905031554 50540042072 75810063108 151620126216