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2551187248380 = 22325175315730591
BaseRepresentation
bin100101000111111110100…
…111000001010011111100
3100000220001121220012102200
4211013332213001103330
5313244312413422010
65231555500351500
7352213540545621
oct45077647012374
910026047805380
102551187248380
118a3a52768641
1235252b545590
131567644001a4
148b699d74348
1546567822cc0
hex251fe9c14fc

2551187248380 has 144 divisors (see below), whose sum is σ = 8348413941504. Its totient is φ = 628216842240.

The previous prime is 2551187248369. The next prime is 2551187248403. The reversal of 2551187248380 is 838427811552.

It is a happy number.

2551187248380 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 1 + 87 + 2 + 483 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7703116 + ... + 8027475.

It is an arithmetic number, because the mean of its divisors is an integer number (57975096816).

Almost surely, 22551187248380 is an apocalyptic number.

2551187248380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551187248380 is an abundant number, since it is smaller than the sum of its proper divisors (5797226693124).

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

2551187248380 is a wasteful number, since it uses less digits than its factorization.

2551187248380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15730676 (or 15730671 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 2551187248380 in words is "two trillion, five hundred fifty-one billion, one hundred eighty-seven million, two hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 53 60 68 85 90 102 106 153 159 170 180 204 212 255 265 306 318 340 477 510 530 612 636 765 795 901 954 1020 1060 1530 1590 1802 1908 2385 2703 3060 3180 3604 4505 4770 5406 8109 9010 9540 10812 13515 16218 18020 27030 32436 40545 54060 81090 162180 15730591 31461182 47191773 62922364 78652955 94383546 141575319 157305910 188767092 235958865 267420047 283150638 314611820 471917730 534840094 566301276 707876595 802260141 833721323 943835460 1069680188 1337100235 1415753190 1604520282 1667442646 2406780423 2501163969 2674200470 2831506380 3209040564 3334885292 4011300705 4168606615 4813560846 5002327938 5348400940 7503491907 8022601410 8337213230 9627121692 10004655876 12033902115 12505819845 14173262491 15006983814 16045202820 16674426460 24067804230 25011639690 28346524982 30013967628 37517459535 42519787473 48135608460 50023279380 56693049964 70866312455 75034919070 85039574946 127559362419 141732624910 150069838140 170079149892 212598937365 255118724838 283465249820 425197874730 510237449676 637796812095 850395749460 1275593624190 2551187248380