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1054041205152 = 253132149436027
BaseRepresentation
bin11110101011010011100…
…00000110100110100000
310201202122221111002101210
433111221300012212200
5114232134022031102
62124115253030120
7136103060263005
oct17255160064640
93652587432353
101054041205152
1137701a866211
12150344325340
137851b356200
14390317758ac
151c640cc036c
hexf569c069a0

1054041205152 has 144 divisors (see below), whose sum is σ = 3016180087200. Its totient is φ = 322142985216.

The previous prime is 1054041205141. The next prime is 1054041205193. The reversal of 1054041205152 is 2515021404501.

It is a super-2 number, since 2×10540412051522 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2199363 + ... + 2635389.

It is an arithmetic number, because the mean of its divisors is an integer number (20945695050).

Almost surely, 21054041205152 is an apocalyptic number.

1054041205152 is a gapful number since it is divisible by the number (12) 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 1054041205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508090043600).

1054041205152 is an abundant number, since it is smaller than the sum of its proper divisors (1962138882048).

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

1054041205152 is a wasteful number, since it uses less digits than its factorization.

1054041205152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436215 (or 436194 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 1054041205152 its reverse (2515021404501), we get a palindrome (3569062609653).

The spelling of 1054041205152 in words is "one trillion, fifty-four billion, forty-one million, two hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 149 156 169 208 298 312 338 416 447 507 596 624 676 894 1014 1192 1248 1352 1788 1937 2028 2384 2704 3576 3874 4056 4768 5408 5811 7152 7748 8112 11622 14304 15496 16224 23244 25181 30992 46488 50362 61984 75543 92976 100724 151086 185952 201448 302172 402896 436027 604344 805792 872054 1208688 1308081 1744108 2417376 2616162 3488216 5232324 5668351 6976432 10464648 11336702 13952864 17005053 20929296 22673404 34010106 41858592 45346808 64968023 68020212 73688563 90693616 129936046 136040424 147377126 181387232 194904069 221065689 259872092 272080848 294754252 389808138 442131378 519744184 544161696 589508504 779616276 844584299 884262756 1039488368 1179017008 1559232552 1689168598 1768525512 2078976736 2358034016 2533752897 3118465104 3378337196 3537051024 5067505794 6236930208 6756674392 7074102048 10135011588 10979595887 13513348784 20270023176 21959191774 27026697568 32938787661 40540046352 43918383548 65877575322 81080092704 87836767096 131755150644 175673534192 263510301288 351347068384 527020602576 1054041205152