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419954118602980 = 2251313918736204059
BaseRepresentation
bin101111101111100100011000…
…0000011111011000011100100
32001001221012222120210011022211
41133133020300003323003210
5420021012013330243410
64045100131515333204
7154312453356350323
oct13737106003730344
92031835876704284
10419954118602980
111118a05a5851aa5
123b125b08751204
131504367113b550
14759bc601600ba
153383e84ec168a
hex17df2300fb0e4

419954118602980 has 96 divisors (see below), whose sum is σ = 957085942780800. Its totient is φ = 153862226638848.

The previous prime is 419954118602939. The next prime is 419954118603053. The reversal of 419954118602980 is 89206811459914.

It is a super-2 number, since 2×4199541186029802 (a number of 30 digits) contains 22 as substring.

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, 64588191 + ... + 70792249.

It is an arithmetic number, because the mean of its divisors is an integer number (9969645237300).

Almost surely, 2419954118602980 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 419954118602980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478542971390400).

419954118602980 is an abundant number, since it is smaller than the sum of its proper divisors (537131824177820).

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

419954118602980 is a wasteful number, since it uses less digits than its factorization.

419954118602980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206093 (or 6206091 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 67.

The spelling of 419954118602980 in words is "four hundred nineteen trillion, nine hundred fifty-four billion, one hundred eighteen million, six hundred two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 1873 2780 3614 3746 7228 7492 9035 9365 18070 18730 24349 36140 37460 48698 97396 121745 243490 260347 486980 520694 1041388 1301735 2603470 3384511 5206940 6204059 6769022 12408118 13538044 16922555 24816236 31020295 33845110 62040590 67690220 80652767 124081180 161305534 322611068 403263835 806527670 862364201 1613055340 1724728402 3449456804 4311821005 8623642010 11210734613 11620202507 17247284020 22421469226 23240405014 44842938452 46480810028 56053673065 58101012535 112107346130 116202025070 151062632591 224214692260 232404050140 302125265182 604250530364 755313162955 1510626325910 1615208148473 3021252651820 3230416296946 6460832593892 8076040742365 16152081484730 20997705930149 32304162969460 41995411860298 83990823720596 104988529650745 209977059301490 419954118602980