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1942546290096 = 2432373109122093
BaseRepresentation
bin11100010001001000110…
…010000001010110110000
320212201001101112222120110
4130101020302001112300
5223311313322240341
64044220552341320
7260226052012446
oct34211062012660
96781041488513
101942546290096
11689913814205
1227458a9a4840
131112484c3219
146a03c25ab96
15357e409b216
hex1c448c815b0

1942546290096 has 160 divisors (see below), whose sum is σ = 5313266929152. Its totient is φ = 610290616320.

The previous prime is 1942546290077. The next prime is 1942546290109. The reversal of 1942546290096 is 6900926452491.

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, 87914826 + ... + 87936918.

Almost surely, 21942546290096 is an apocalyptic number.

1942546290096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1942546290096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656633464576).

1942546290096 is an abundant number, since it is smaller than the sum of its proper divisors (3370720639056).

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

1942546290096 is a wasteful number, since it uses less digits than its factorization.

1942546290096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23291 (or 23285 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 1942546290096 in words is "one trillion, nine hundred forty-two billion, five hundred forty-six million, two hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 73 92 138 146 184 219 276 292 368 438 552 584 876 1091 1104 1168 1679 1752 2182 3273 3358 3504 4364 5037 6546 6716 8728 10074 13092 13432 17456 20148 22093 25093 26184 26864 40296 44186 50186 52368 66279 75279 79643 80592 88372 100372 132558 150558 159286 176744 200744 238929 265116 301116 318572 353488 401488 477858 508139 530232 602232 637144 955716 1016278 1060464 1204464 1274288 1524417 1612789 1831789 1911432 2032556 3048834 3225578 3663578 3822864 4065112 4838367 5495367 6097668 6451156 7327156 8130224 9676734 10990734 12195336 12902312 14654312 19353468 21981468 24103463 24390672 25804624 29308624 37094147 38706936 43962936 48206926 72310389 74188294 77413872 87925872 96413852 111282441 144620778 148376588 192827704 222564882 289241556 296753176 385655408 445129764 554379649 578483112 593506352 890259528 1108759298 1156966224 1663138947 1759552799 1780519056 2217518596 3326277894 3519105598 4435037192 5278658397 6652555788 7038211196 8870074384 10557316794 13305111576 14076422392 21114633588 26610223152 28152844784 40469714377 42229267176 80939428754 84458534352 121409143131 161878857508 242818286262 323757715016 485636572524 647515430032 971273145048 1942546290096