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145246010426298 = 232192336073002849
BaseRepresentation
bin100001000001100110111000…
…110110110100001110111010
3201001021101100012101011212200
4201001212320312310032322
5123014202312132120143
61232525032424451030
742410451353130615
oct4101467066641672
9631241305334780
10145246010426298
114230953a36a201
1214359797019a76
136307842152a42
1427c1d3168717c
1511bd2ae6611d3
hex8419b8db43ba

145246010426298 has 96 divisors (see below), whose sum is σ = 333232750656000. Its totient is φ = 45595051849728.

The previous prime is 145246010426261. The next prime is 145246010426303. The reversal of 145246010426298 is 892624010642541.

145246010426298 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 4 + 6 + 0 + 1 + 0 + 4 + 2 + 629 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46867978 + ... + 49870826.

It is an arithmetic number, because the mean of its divisors is an integer number (3471174486000).

Almost surely, 2145246010426298 is an apocalyptic number.

145246010426298 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145246010426298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166616375328000).

145246010426298 is an abundant number, since it is smaller than the sum of its proper divisors (187986740229702).

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

145246010426298 is a wasteful number, since it uses less digits than its factorization.

145246010426298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003716 (or 3003713 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 145246010426298 in words is "one hundred forty-five trillion, two hundred forty-six billion, ten million, four hundred twenty-six thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 233 342 466 607 699 1214 1398 1821 2097 3642 4194 4427 5463 8854 10926 11533 13281 23066 26562 34599 39843 69198 79686 103797 141431 207594 282862 424293 848586 1272879 2545758 2687189 3002849 5374378 6005698 8061567 9008547 16123134 18017094 24184701 27025641 48369402 54051282 57054131 114108262 171162393 342324786 513487179 699663817 1026974358 1399327634 1822729343 2098991451 3645458686 4197982902 5468188029 6296974353 10936376058 12593948706 13293612523 16404564087 26587225046 32809128174 34631857517 39880837569 69263715034 79761675138 103895572551 119642512707 207791145102 239285025414 311686717653 424695936919 623373435306 849391873838 1274087810757 2548175621514 3822263432271 7644526864542 8069222801461 16138445602922 24207668404383 48415336808766 72623005213149 145246010426298