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146404670208 = 28317109102877
BaseRepresentation
bin1000100001011001100…
…1011111101100000000
3111222220012012211120220
42020112121133230000
54344314043421313
6151131332103040
713402021110126
oct2102631375400
9458805184526
10146404670208
11570a968a715
122445a764a80
1310a62745c94
14712c099916
153c1d141823
hex221665fb00

146404670208 has 144 divisors (see below), whose sum is σ = 416359611360. Its totient is φ = 45509050368.

The previous prime is 146404670179. The next prime is 146404670213. The reversal of 146404670208 is 802076404641.

It is a self number, because there is not a number n which added to its sum of digits gives 146404670208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1371666 + ... + 1474542.

It is an arithmetic number, because the mean of its divisors is an integer number (2891386190).

Almost surely, 2146404670208 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 146404670208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208179805680).

146404670208 is an abundant number, since it is smaller than the sum of its proper divisors (269954941152).

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

146404670208 is a wasteful number, since it uses less digits than its factorization.

146404670208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103022 (or 103008 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 146404670208 in words is "one hundred forty-six billion, four hundred four million, six hundred seventy thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 109 128 136 192 204 218 256 272 327 384 408 436 544 654 768 816 872 1088 1308 1632 1744 1853 2176 2616 3264 3488 3706 4352 5232 5559 6528 6976 7412 10464 11118 13056 13952 14824 20928 22236 27904 29648 41856 44472 59296 83712 88944 102877 118592 177888 205754 237184 308631 355776 411508 474368 617262 711552 823016 1234524 1423104 1646032 1748909 2469048 3292064 3497818 4938096 5246727 6584128 6995636 9876192 10493454 11213593 13168256 13991272 19752384 20986908 22427186 26336512 27982544 33640779 39504768 41973816 44854372 55965088 67281558 79009536 83947632 89708744 111930176 134563116 167895264 179417488 190631081 223860352 269126232 335790528 358834976 381262162 447720704 538252464 571893243 671581056 717669952 762524324 1076504928 1143786486 1343162112 1435339904 1525048648 2153009856 2287572972 2870679808 3050097296 4306019712 4575145944 6100194592 8612039424 9150291888 12200389184 18300583776 24400778368 36601167552 48801556736 73202335104 146404670208