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1920888394350 = 235237797434261
BaseRepresentation
bin11011111100111101110…
…111101101001001101110
320210122011000101212220120
4123330331313231021232
5222432434412104400
64030235520425410
7255531255644322
oct33747567551156
96718130355816
101920888394350
1168070a46a612
12270345778266
1310c1a64c15b3
1468d85acd982
1534e779e6ca0
hex1bf3dded26e

1920888394350 has 96 divisors (see below), whose sum is σ = 4898704650336. Its totient is φ = 497766182400.

The previous prime is 1920888394333. The next prime is 1920888394351. The reversal of 1920888394350 is 534938880291.

It is a super-2 number, since 2×19208883943502 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920888394351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4206220 + ... + 4640480.

It is an arithmetic number, because the mean of its divisors is an integer number (51028173441).

Almost surely, 21920888394350 is an apocalyptic number.

1920888394350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920888394350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449352325168).

1920888394350 is an abundant number, since it is smaller than the sum of its proper divisors (2977816255986).

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

1920888394350 is a wasteful number, since it uses less digits than its factorization.

1920888394350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435110 (or 435105 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 1920888394350 in words is "one trillion, nine hundred twenty billion, eight hundred eighty-eight million, three hundred ninety-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 797 925 1110 1594 1850 2391 2775 3985 4782 5550 7970 11955 19925 23910 29489 39850 58978 59775 88467 119550 147445 176934 294890 434261 442335 737225 868522 884670 1302783 1474450 2171305 2211675 2605566 4342610 4423350 6513915 10856525 13027830 16067657 21713050 32135314 32569575 48202971 65139150 80338285 96405942 160676570 241014855 346106017 401691425 482029710 692212034 803382850 1038318051 1205074275 1730530085 2076636102 2410148550 3461060170 5191590255 8652650425 10383180510 12805922629 17305300850 25611845258 25957951275 38417767887 51915902550 64029613145 76835535774 128059226290 192088839435 320148065725 384177678870 640296131450 960444197175 1920888394350