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1197875102004 = 2232717927795869
BaseRepresentation
bin10001011011100110111…
…010111000000100110100
311020111220222100002220200
4101123212322320010310
5124111222011231004
62314143552400500
7152354314240110
oct21334672700464
94214828302820
101197875102004
1142201a2a2849
121741a5b46130
1388c612c0209
1441d9823a740
152125d3a6239
hex116e6eb8134

1197875102004 has 144 divisors (see below), whose sum is σ = 3492459734400. Its totient is φ = 339105823488.

The previous prime is 1197875102003. The next prime is 1197875102093. The reversal of 1197875102004 is 4002015787911.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1197875102003) 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, 12446982 + ... + 12542850.

It is an arithmetic number, because the mean of its divisors is an integer number (24253192600).

Almost surely, 21197875102004 is an apocalyptic number.

1197875102004 is a gapful number since it is divisible by the number (14) 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 1197875102004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746229867200).

1197875102004 is an abundant number, since it is smaller than the sum of its proper divisors (2294584632396).

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

1197875102004 is a wasteful number, since it uses less digits than its factorization.

1197875102004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96342 (or 96337 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 1197875102004 in words is "one trillion, one hundred ninety-seven billion, eight hundred seventy-five million, one hundred two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 277 358 537 554 716 831 1074 1108 1253 1611 1662 1939 2148 2493 2506 3222 3324 3759 3878 4986 5012 5817 6444 7518 7756 9972 11277 11634 15036 17451 22554 23268 34902 45108 49583 69804 95869 99166 148749 191738 198332 287607 297498 347081 383476 446247 575214 594996 671083 694162 862821 892494 1041243 1150428 1342166 1388324 1725642 1784988 2013249 2082486 2684332 3123729 3451284 4026498 4164972 6039747 6247458 8052996 12079494 12494916 17160551 24158988 26555713 34321102 51481653 53111426 68642204 79667139 102963306 106222852 120123857 154444959 159334278 185889991 205926612 239001417 240247714 308889918 318668556 360371571 371779982 478002834 480495428 557669973 617779836 720743142 743559964 956005668 1081114713 1115339946 1441486284 1673009919 2162229426 2230679892 3346019838 4324458852 4753472627 6692039676 9506945254 14260417881 19013890508 28520835762 33274308389 42781253643 57041671524 66548616778 85562507286 99822925167 133097233556 171125014572 199645850334 299468775501 399291700668 598937551002 1197875102004