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900196771369 = 74174672
BaseRepresentation
bin11010001100101111110…
…10001010011000101001
310012001120021001002210211
431012113322022120221
5104222100333140434
61525313352541121
7122015500210000
oct15062772123051
93161507032724
10900196771369
11317853678065
1212656a0b17a1
1366b7148297c
14317d95a7c37
1518639949464
hexd197e8a629

900196771369 has 75 divisors (see below), whose sum is σ = 1132704056337. Its totient is φ = 715370217408.

The previous prime is 900196771367. The next prime is 900196771387. The reversal of 900196771369 is 963177691009.

The square root of 900196771369 is 948787.

It is a perfect power (a square), and thus also a powerful number.

900196771369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 279378844969 + 620817926400 = 528563^2 + 787920^2 .

It is not a de Polignac number, because 900196771369 - 21 = 900196771367 is a prime.

It is a super-2 number, since 2×9001967713692 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900196771367) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 13435772674 + ... + 13435772740.

Almost surely, 2900196771369 is an apocalyptic number.

900196771369 is the 948787-th square number.

900196771369 is the 474394-th centered octagonal number.

It is an amenable number.

900196771369 is a deficient number, since it is larger than the sum of its proper divisors (232507284968).

900196771369 is an frugal number, since it uses more digits than its factorization.

900196771369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 58.

The spelling of 900196771369 in words is "nine hundred billion, one hundred ninety-six million, seven hundred seventy-one thousand, three hundred sixty-nine".

Divisors: 1 7 17 49 67 119 289 343 469 833 1139 2023 2401 3283 4489 4913 5831 7973 14161 19363 22981 31423 34391 40817 55811 76313 83521 99127 135541 160867 219961 240737 329171 390677 534191 584647 693889 948787 1297321 1539727 1685159 2304197 2734739 3739337 4092529 5595907 6641509 9081247 10778089 11796113 16129379 22054457 26175359 28647703 39171349 46490563 63568729 112905653 154381199 183227513 200533921 274199443 374925769 444981103 790339571 1080668393 1919396101 2624480383 3114867721 7564678751 13435772707 18371362681 52952751257 128599538767 900196771369