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361721191396968 = 233213282935859169
BaseRepresentation
bin101001000111110111100011…
…1000111101111011001101000
31202102202012121202121102200200
41102033233013013233121220
5334402414444444200333
63321152230555432200
7136122331220212524
oct12217570707573150
91672665552542620
10361721191396968
11a528a106545327
123469bba7155660
13126ab214b65100
1465475830d2d84
152bc42e9387c13
hex148fbc71ef668

361721191396968 has 144 divisors (see below), whose sum is σ = 1062096619603500. Its totient is φ = 111164568293376.

The previous prime is 361721191396967. The next prime is 361721191396987. The reversal of 361721191396968 is 869693191127163.

It is a happy number.

361721191396968 is a `hidden beast` number, since 3 + 6 + 17 + 211 + 9 + 1 + 396 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 192030915980484 + 169690275416484 = 13857522^2 + 13026522^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 361721191396896 and 361721191396905.

It is not an unprimeable number, because it can be changed into a prime (361721191396963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7842313 + ... + 28016856.

Almost surely, 2361721191396968 is an apocalyptic number.

It is an amenable number.

361721191396968 is an abundant number, since it is smaller than the sum of its proper divisors (700375428206532).

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

361721191396968 is a wasteful number, since it uses less digits than its factorization.

361721191396968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35860036 (or 35860016 counting only the distinct ones).

The product of its digits is 158723712, while the sum is 72.

The spelling of 361721191396968 in words is "three hundred sixty-one trillion, seven hundred twenty-one billion, one hundred ninety-one million, three hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 829 936 1014 1352 1521 1658 2028 2487 3042 3316 4056 4974 6084 6632 7461 9948 10777 12168 14922 19896 21554 29844 32331 43108 59688 64662 86216 96993 129324 140101 193986 258648 280202 387972 420303 560404 775944 840606 1120808 1260909 1681212 2521818 3362424 5043636 10087272 35859169 71718338 107577507 143436676 215155014 286873352 322732521 430310028 466169197 645465042 860620056 932338394 1290930084 1398507591 1864676788 2581860168 2797015182 3729353576 4195522773 5594030364 6060199561 8391045546 11188060728 12120399122 16782091092 18180598683 24240798244 29727251101 33564182184 36361197366 48481596488 54541796049 59454502202 72722394732 89181753303 109083592098 118909004404 145444789464 178363506606 218167184196 237818008808 267545259909 356727013212 386454264313 436334368392 535090519818 713454026424 772908528626 1070181039636 1159362792939 1545817057252 2140362079272 2318725585878 3091634114504 3478088378817 4637451171756 5023905436069 6956176757634 9274902343512 10047810872138 13912353515268 15071716308207 20095621744276 27824707030536 30143432616414 40191243488552 45215148924621 60286865232828 90430297849242 120573730465656 180860595698484 361721191396968